Cover Image

Stochastic Quadrature Rules for Solving PDEs using Neural Networks

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Taylor, Jamie M., Pardo, David
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Least-Squares-Based Neural Network (LS-Net) for Solving Linear Parametric PDEs
by: Baharlouei, Shima, et al.
Published: (2024)

Efficient Numerical Integration for Finite Element Trunk Spaces in 2D and 3D using Machine Learning: A new Optimisation Paradigm to Construct Application-Specific Quadrature Rules
by: Teijeiro, Tomas, et al.
Published: (2025)

RUNNs: Ritz-Uzawa Neural Networks for Solving Variational Problems
by: Herrera, Pablo, et al.
Published: (2026)

Regularity-Conforming Neural Networks (ReCoNNs) for solving Partial Differential Equations
by: Taylor, Jamie M., et al.
Published: (2024)

A Least-Squares-Based Regularity-Conforming Neural Networks (LS-ReCoNNs) for Solving Parametric Transmission Problems
by: Baharlouei, Shima, et al.
Published: (2026)

Optimizing Variational Physics-Informed Neural Networks Using Least Squares
by: Uriarte, Carlos, et al.
Published: (2024)

Solving High-Dimensional PDEs Using Linearized Neural Networks
by: Mao, Tong, et al.
Published: (2026)

Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs
by: De Ryck, T., et al.
Published: (2025)

What Can One Expect When Solving PDEs Using Shallow Neural Networks?
by: He, Roy Y., et al.
Published: (2025)

Quadrature-Enhanced Monte Carlo fPINN Method for High-Dimensional Fractional PDEs
by: Ma, Qingkui, et al.
Published: (2026)

TINNs: Time-Induced Neural Networks for Solving Time-Dependent PDEs
by: Dai, Chen-Yang, et al.
Published: (2026)

Adaptive Deep Fourier Residual method via overlapping domain decomposition
by: Taylor, Jamie M., et al.
Published: (2024)

Solving Roughly Forced Nonlinear PDEs via Misspecified Kernel Methods and Neural Networks
by: Baptista, Ricardo, et al.
Published: (2025)

A Note on the Convergence of Symmetric Triangle Quadrature Rules
by: Freno, Brian A., et al.
Published: (2025)

Solving PDEs on Spheres with Physics-Informed Convolutional Neural Networks
by: Lei, Guanhang, et al.
Published: (2023)

High-Order Symmetric Positive Interior Quadrature Rules on Two and Three Dimensional Domains
by: Diallo, Moustapha, et al.
Published: (2026)

Robust Deep FOSLS for Transmission Problems
by: Duque, Alejandro, et al.
Published: (2026)

Neural Evolutionary Kernel Method: A Knowledge-Guided Framework for Solving Evolutionary PDEs
by: Ling, Shuo, et al.
Published: (2026)

Latent Neural Operator Pretraining for Solving Time-Dependent PDEs
by: Wang, Tian, et al.
Published: (2024)

Solving Nonlinear PDEs with Sparse Radial Basis Function Networks
by: Shao, Zihan, et al.
Published: (2025)

Finite Element Eigenfunction Network (FEENet): A Hybrid Framework for Solving PDEs on Complex Geometries
by: Li, Shiyuan, et al.
Published: (2026)

Incorporating Local Hölder Regularity into PINNs for Solving Elliptic PDEs
by: Zhou, Qirui, et al.
Published: (2025)

Weighted Quadrature on Unstructured Splines
by: Sheng, Ji, et al.
Published: (2026)

Adaptive-Growth Randomized Neural Networks for PDEs: Algorithms and Numerical Analysis
by: Dang, Haoning, et al.
Published: (2024)

ALM-PINNs Algorithms for Solving Nonlinear PDEs and Parameter Inversion Problems
by: Tian, Yimeng, et al.
Published: (2024)

Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs
by: Škardová, Kateřina, et al.
Published: (2024)

Convolution Quadrature for the quasilinear subdiffusion equation
by: López-Fernández, Maria, et al.
Published: (2023)

Solving PDEs on Unknown Manifolds with Machine Learning
by: Liang, Senwei, et al.
Published: (2021)

A Quantum Spectral Framework for Solving PDEs
by: Huang, Chih-Kang, et al.
Published: (2026)

PINNsur: Physics-Informed Neural Networks for PDEs on Curved Surfaces
by: Jain, Pranav, et al.
Published: (2026)

Generalization Error Analysis of Deep Backward Dynamic Programming for Solving Nonlinear PDEs
by: Ouyang, Du, et al.
Published: (2024)

Solving PDEs With Deep Neural Nets under General Boundary Conditions
by: Zhang, Chenggong
Published: (2025)

Generalized Moving Least-Squares Methods for Solving Vector-valued PDEs on Unknown Manifolds
by: Li, Rongji, et al.
Published: (2024)

A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces
by: Bayona, Víctor, et al.
Published: (2024)

Quadrature formulas based on rational interpolation
by: Van Assche, Walter, et al.
Published: (1993)

Combining Hyperbolic Quadrature Method of Moments and Discrete-Velocity-Direction Models for Solving BGK-type Equations
by: Li, Tianshu, et al.
Published: (2024)

On Symmetric Lanczos Quadrature for Stochastic Trace Estimation
by: Li, Wenhao, et al.
Published: (2025)

Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs
by: Chertock, Alina, et al.
Published: (2024)

A Machine Learning Model for Solving Lane-Emden Equation using Legendre Wavelet Neural Network
by: Patel, Vijay Kumar, et al.
Published: (2024)

Solving Partial Differential Equations Using Artificial Neural Networks
by: Uriarte, Carlos
Published: (2024)